Article thumbnail
Location of Repository

Stationary state of a zero-range process corresponding to multifractal one-particle distribution

By Hiroshi Miki

Abstract

We investigate a zero-range process where the underlying one-particle stationary distribution has multifractality. The multiparticle stationary probability measure can be written in a factorized form. If the number of the particles is sufficiently large, a great part of the particles condense at the site with the highest measure of the one-particle problem. The number of the particles out of the condensate scales algebraically with the system size and the exponent depends on the strength of the disorder. These results can be well reproduced by a branching process, with similar multifractal property.Comment: 10 pages, 5 figure

Topics: Condensed Matter - Statistical Mechanics
Year: 2016
OAI identifier: oai:arXiv.org:1609.03237

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.